PL-Invariants via Cluster Algebras

Dr Alastair Darby (Xi'an Jiaotong-Liverpool University)

Frank Adams Room 1,

Using ideas from the theory of cluster algebras we attempt to find algebraic invariants for piecewise linear manifolds. This is inspired by the work of Fomin, Shapiro and Thurston where they encode equivalence classes of triangulated surfaces using cluster algebras. Using generalisations and adaptations of this theory we shed a modern light on a classical subject.

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